Smolukhovsky problem for electrons in a metal

We find an analytic solution of the Smolukhovsky problem of the temperature and electric potential jumps in a metal under the action of the temperature gradient normal to the surface. We take the character of the electron energy accommodation on the surface into account. We find the analytic expressions for the electric field generated by heat processes, for the temperature distribution, and for the electric potential.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 142, No. 1, pp. 93–111, January, 2005.     

Nonequilibrium phonon energy in crystals with hot electrons

The nonequilibrium phonon energy due to deformation interactions with hot electrons is determined. This energy depends on the lifetime of phonons with fixed momentum. Lifetime for phonons scattered by electrons and by macroscopic and microscopic impurities are calculated using the Keldysh diagram technique. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 115, No. 2, pp. 289–304, May, 1998.     

Linear and nonlinear properties of electron-acoustic solitary waves with non-thermal electrons

Propagation of linear and nonlinear electron-acoustic waves (EAWs) in an unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot electrons and stationary ions are investigated. The standard normal-mode analysis is used to study the stability condition of linear (EAWs) waves. For nonlinear (EAWs) waves, a reductive perturbation method was employed to obtain a Korteweg–de Vries (KdV) equation for the first-order potential. The effects of a non-thermal distribution of hot electrons on the amplitude, width and energy of electrostatic solitary structures are also discussed.     

Hot electrons generated by ultra-short pulse laser interacting with solid targets

Hot electrons produced by ultra-short pulse laser interacting with solid targets were studied systematically. When 800 nm, 8 × 10¹⁵ W/cm² laser pulses interacted with solid targets, hot electron emission was found to be collimated in certain directions and the angular distribution of hot electrons depended on the energy absorption. The angular divergence of outgoing hot electrons was inversely proportional to the hot electron energy. The energy spectrum of hot electrons was found to be in a biMaxwellian distribution and the maximum energy was over 500 keV.     

Non localization of free electrons

Using a formula derived from the Dirac equation, written in Clifford algebra, we prove that either in relativistic or in corpuscular (quantum) mechanics (Bohm, Vigier) free electrons cannot be localized. This makes the corpuscular hypothesis unacceptable, disproving the possibility of a subquantum field.     

Scattering of relativistic electrons in a strong electromagnetic field with allowance for the internal dynamics of the target

Stimulated bremsstrahlung of relativistic electrons in a strong electromagnetic field is considered. Polarization of the target in the external field, and also its excitation are taken into account. Expressions are obtained for the differential cross section of the process in a field of linear or circular polarization.Voronezh State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 3, pp. 418–426, June, 1993.     

Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons

Theoretical and Mathematical Physics - We choose a typical three-site one-dimensional (1D) quantum chain system to deduce exact spin states and nonequilibrium spin transport properties...     

Entanglement of electrons in interacting molecules

We use the concept of quantum entanglement to give a physical meaning to the electron correlation energy in systems of interacting electrons. The electron correlation is not directly observable, being defined as the difference between the exact ground state energy of the many-electron Schrödinger equation and the Hartree-Fock energy. Using the configuration interaction method for the hydrogen molecule, we calculate the correlation energy and compare it with the entanglement as a function of the nucleus-nucleus separation. In the same spirit, we analyze a dimer of ethylene, which represents the simplest organic conjugate system, changing the relative orientation and distance of the molecules to obtain the configuration corresponding to maximum entanglement.     

Kondo interaction and strongly correlated electrons

A study is made of a system of strongly correlated electrons that are localized on a lattice and coupled to the free electrons by the 4-fermion interaction proposed by Kondo. A realistic Hamiltonian is constructed in the basis of atomic operators of the superalgebra spl(8;8). A scheme is proposed for calculating the spectrum of Fermi excitations with respect to a small parameter, which is the hopping integral made dimensionless by intraatomic correlations. The static spin susceptibility is calculated as a function of the temperature and concentration of the electrons and is found to be in agreement with the experimental susceptibility for several narrow-band organometallic compounds. The nonphonon kinematic mechanism is used to estimate the possibility of superconducting pairing in the proposed model, andT _c and the corresponding critical electron concentration in one of the correlated bands are calculated.N. S. Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 2, pp. 304–314, November, 1994.     

Dust-acoustic solitary waves in a two-temperature electrons with charge fluctuations and nonisothermal ions

In this paper, a modified Korteweg–de Vries (mKdV) equation and Korteweg–de Vries (KdV) equation at critical ion density are derived for dusty plasmas consisting of hot dust fluid, nonisothermal ions and two-temperature electrons. The charge fluctuation dynamics of the dust grains has also been considered. It has been shown that the presence of a second component of electrons modifies the nature of dust acoustic (DA) solitary structures. The effects of two-temperature electrons, obliqueness and external magnetic field on the properties of DA solitary waves are discussed. Numerical investigations show that there exists only rarefactive solitary waves.